I've advocated this in the past but I've gone the other way now. If they allow play to stop it seems likely that the broadcasters will start lobbying for an advert break mid game.

Mostly though if worry that it would change the game... I think the building of pressure, and stamina required to defend your goal for 45 minutes is an essential part of the game... Id worry that would be lost if players can get a drink and chat the the bench every time the ball is kicked out of play.